Papers by Rabha El-Ashwah
Mathematica Bohemica
Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents ... more Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.
Journal of Mathematical Sciences and Modelling
The main purpose of this paper is to compute a highly accurate numerical solution of two dimensio... more The main purpose of this paper is to compute a highly accurate numerical solution of two dimensional convection--diffusion equations with variable coefficients by using Legendre pseudo-spectral method based on Legendre-Gauss-Lobatto nodes. The Kronecker product is used here to formulate a linear system of differentiation matrices; this system was reduced to be more accurate with less memory usage. Error analysis with test problems are introduced to show that the suggested scheme of the spectral method has high accuracy.
TURKISH JOURNAL OF MATHEMATICS
In this paper, the authors study some subordination and superordination properties for classes of... more In this paper, the authors study some subordination and superordination properties for classes of p-valent meromorphic, analytic, and univalent functions associated with a linear operator L m,ℓ p,λ (a, c, µ) of the Erdélyi-Kober type. Connections with several earlier results are also pointed out.
Annales Polonici Mathematici
For α ∈ [0, 1] and β ∈ (−π/2, π/2) we introduce the classes C β (α) defined as follows: a functio... more For α ∈ [0, 1] and β ∈ (−π/2, π/2) we introduce the classes C β (α) defined as follows: a function f regular in U = {z : |z| < 1} of the form f (z) = z + ∞ n=1 anz n , z ∈ U , belongs to the class C β (α) if Re{e iβ (1 − α 2 z 2)f (z)} > 0 for z ∈ U. Estimates of the coefficients, distortion theorems and other properties of functions in C β (α) are examined.
Journal of Science, Natural Science, 2015
Certain integral operator J m p (λ,)(λ ≥ 0; ≥ 0; p ∈ N ; m ∈ N 0 = N ∪ {0}), where N = {1, 2, ...... more Certain integral operator J m p (λ,)(λ ≥ 0; ≥ 0; p ∈ N ; m ∈ N 0 = N ∪ {0}), where N = {1, 2, ...} is introduced for functions of the form f (z) = z p + ∞ k=p+1 a k z k which are analytic and p-valent in the open unit disc U = {z : |z| < 1}. The opject of the present paper is to give an applications of the above operator to the differential inequalities.
Kyungpook mathematical journal, 2013
The object of the present paper is to investigate the majorization properties of certain subclass... more The object of the present paper is to investigate the majorization properties of certain subclasses of analytic p-valent functions defined by convolution.
Kyungpook mathematical journal, 2015
In this paper, we obtain Fekete-Szegö inequalities for certain subclasses of analytic univalent f... more In this paper, we obtain Fekete-Szegö inequalities for certain subclasses of analytic univalent functions of complex order associated with quasi-subordination.
Kyungpook mathematical journal, 2014
In this paper we derive some results for certain new class of analytic functions defined by using... more In this paper we derive some results for certain new class of analytic functions defined by using Ruscheweyh derivative with varying arguments.
Scientific Journals of Rzeszów University of Technology, Series: Journal of Mathematics and Applications, 2014
In the present paper we determine sharp lower bounds of the real part of the ratios of harmonic u... more In the present paper we determine sharp lower bounds of the real part of the ratios of harmonic univalent meromorphic functions to their sequences of partial sums. Let Σ H denote the class of functions f that are harmonic univalent and sense-preserving in U * =, {z : |z| > 1} which are of the form fs,r(z) f (z) .
Filomat, 2016
In this paper we introduce and study a new class of analytic and p-valent functions involving hig... more In this paper we introduce and study a new class of analytic and p-valent functions involving higher-order derivatives. For this p-valent function class, we derive several interesting properties including (for example) coefficient inequalities, distortion theorems, extreme points, and the radii of closeto-convexity, starlikeness and convexity. Several applications involving an integral operator are also considered. Finally, we obtain some results for the modified Hadamard product of the functions belonging to the p-valent function class which is introduced here.
Journal of the Egyptian Mathematical Society, 2014
In this paper, we study new generalized integral operators for the classes of p-valent functions ... more In this paper, we study new generalized integral operators for the classes of p-valent functions associated with generalized multiplier transformations.
Journal of Complex Analysis, 2013
We introduce certain new classes κ−VST(α,β) and κ−VUCV(α,β), which represent the κ uniformly star... more We introduce certain new classes κ−VST(α,β) and κ−VUCV(α,β), which represent the κ uniformly starlike functions of order α and type β with varying arguments and the κ uniformly convex functions of order α and type β with varying arguments, respectively. Moreover, we give coefficients estimates, distortion theorems, and extreme points of these classes.
Mathematical and Computer Modelling, 2009
In this paper, we obtain coefficient estimates, distortion theorem, radii of starlikeness and con... more In this paper, we obtain coefficient estimates, distortion theorem, radii of starlikeness and convexity for the class Σm∗(a,c,A,B,α) of meromorphic functions with positive coefficients. Some properties of neighborhoods of functions in the class Σm∗(a,c,A,B,α) are investigated. Also we derive many results for the Hadamard products of functions belonging to the class Σm∗(a,c,A,B,α).
Journal of the Egyptian Mathematical Society, 2014
In this paper the author established certain results concerning the quasi-Hadamard product for ge... more In this paper the author established certain results concerning the quasi-Hadamard product for generalized subclasses of p-valent functions with positive coefficients.
Journal of the Egyptian Mathematical Society, 2015
Abstract We investigate several inclusion relationships of certain subclass of p-valent meromorph... more Abstract We investigate several inclusion relationships of certain subclass of p-valent meromorphic functions defined in the punctured unit disc, having a pole of order p at the origin. The subclass under investigation is defined by using certain linear operator defined by combining two integral operators.
International Journal of Open Problems in Complex Analysis, 2013
In this paper we introduce and study new class of analytic p-valent functions with negative coe¢ ... more In this paper we introduce and study new class of analytic p-valent functions with negative coe¢ cients de…ned by convolution. We obtain coe¢ cients inequalities, distortion theorems, extreme points and radii of close to convexity, starlikeness and convexity for the class T p (f; g; A; B; m; q). Also we investigate several application involving an integral operator. Finally, we obtain integral means for functions belonging to this class.
International Journal of Open Problems in Complex Analysis, 2013
Silverman [4] was defined the class of univalent functions f (z) = z + ∞ ∑ k=2 a k z k for which ... more Silverman [4] was defined the class of univalent functions f (z) = z + ∞ ∑ k=2 a k z k for which arg(a k) prescribed in such way that f (z) is univalent if and only if f (z) is starlike. In this paper we introduce the subclass of p-valent functions with varying arguments, especially p-valent starlike functions and p− valent convex functions, moreover we give some interesting properties of functions in these classes, including coefficients estimates, distortion theorems and extreme functions.
Mathematical and Computer Modelling, 2011
Making use of a new integral operator J m p (λ, ℓ), we give some applications of the first order ... more Making use of a new integral operator J m p (λ, ℓ), we give some applications of the first order differential subordination for p-valent functions.
Journal of the Egyptian Mathematical Society, 2014
In this paper, we obtain Fekete-Szego¨inequalities for certain class of analytic p-valent functio... more In this paper, we obtain Fekete-Szego¨inequalities for certain class of analytic p-valent functions f(z) for which 1 þ 1 b 1 p zðfÃgÞ 0 ðzÞþkz 2 ðfÃgÞ 00 ðzÞ ð1ÀkÞðfÃgÞðzÞþkzðfÃgÞ 0 ðzÞ À 1 h i 0 uðzÞðb 2 C Ã ¼ C n f0gÞ. Sharp bounds for the Fekete-Szego¨functional ja pþ2 À la 2 pþ1 j are obtained.
Journal of the Egyptian Mathematical Society, 2014
In this paper, we introduced two new subclasses of the function class R of bi-univalent functions... more In this paper, we introduced two new subclasses of the function class R of bi-univalent functions analytic in the open unit disc defined by convolution. Furthermore, we find estimates on the coefficients OEa 2 OE and OEa 3 OE for functions in these new subclasses.
Uploads
Papers by Rabha El-Ashwah